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Finding the Fourth Proportional to 598.59, 901.40 and 522.47

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Solution

The fourth proportional to 598.59, 901.40 and 522.47 is: 786.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.59 : 901.40 = 522.47 : x
  2. Step 2: Convert to fraction form
    598.59/901.40 = 522.47/x
  3. Step 3: Cross multiply
    598.59x = 901.40 × 522.47
  4. Step 4: Simplify right side
    598.59x = 470,954.46
  5. Step 5: Solve for x
    x = 470,954.46/598.59
  6. Step 6: Final answer
    x = 786.77

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.